10024900 has 36 divisors (see below), whose sum is σ = 23037588. Its totient is φ = 3773440.

The previous prime is 10024829. The next prime is 10024909. The reversal of 10024900 is 942001.

It can be written as a sum of positive squares in 6 ways, for example, as 636804 + 9388096 = 798^2 + 3064^2 .

It is not an unprimeable number, because it can be changed into a prime (10024909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1249 + ... + 4648.

It is an arithmetic number, because the mean of its divisors is an integer number (639933).

Almost surely, 2^10024900 is an apocalyptic number.

10024900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024900 is an abundant number, since it is smaller than the sum of its proper divisors (13012688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10024900 is a wasteful number, since it uses less digits than its factorization.

10024900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10024900 is about 3166.2122480971. The cubic root of 10024900 is about 215.6221388684.

Adding to 10024900 its reverse (942001), we get a palindrome (10966901).

The spelling of 10024900 in words is "ten million, twenty-four thousand, nine hundred".